Question

Find m∠NAB

a) 55

b) 110

c) 80

d) 95

Answer 1

`\huge\boxed{\sf <NAB = 95\°}`

Explanation:

Key: The measure of exterior angle is equal to the sum of measures of non-adjacent interior angles.

So, we get:

8x + 7 = 5x + 40

Subtract 5x and 7 to both sides

8x - 5x = 40 - 7

3x = 33

Divide both sides by 3

x = 11

Now,

∠NAB = 8x + 7

∠NAB = 8(11) + 7 [x = 11]

∠NAB = 88 + 7

∠NAB = 95°

`\rule[225]{225}{2}`

Hope this helped!

~AH1807

Answer 2

95

Explanation:

The exterior angle is the sum of the opposite interior angles

8x+7 = 5x+40

Subtract 5x from each side

8x+7-5x = 5x+40-5x

3x+7 = 40

Subtract 7 from each side

3x+7-7 = 40-7

3x=33

Divide by 3

3x/3 = 33/3

x = 11

Find <NAB

<NAB = 8x+7 = 8*11+7 = 88+7 = 95